RESEARCH IN PAIRS
Complex Approximation and Universality
May 8 – 19, 2017
May 8 – 19, 2017
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Our research is centered on complex approximation and universality, in any number of finite (or infinite) dimensions. Among topics covered are universality of Dirichlet series (continuing work with F. Bayart and P. Gauthier) and existence of periodic smooth functions with universal Fourier-Laurent series and generic versions (continuing work of Nestoridis, Tsirivas, et al). In addition, we hope to extend earlier work related to Schark’s theorem (with D. Carando, T. W. Gamelin, W. B. Johnson, S. Lassalle, et al) on the structure of the maximal ideal space M(B) of H∞ functions on B, where B is the open unit ball of a complex Banach space X. In particular, we will examine the differences and similarities between the fibers Π−1(1) ⊂ M(BC) over a typical point of the boundary of the unit disc and Π−1(1,1) ⊂ M(B(C2,∥·∥∞)) over a typical point of the distinguished boundary of the unit bidisc.
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Participants
Manuel Maestre (University of Valencia) Sponsor  |